Difference between revisions of "Manuals/calci/STANDARDIZE"
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*<math> m </math> is the mean. | *<math> m </math> is the mean. | ||
*<math> sd </math> is the standard deviation. | *<math> sd </math> is the standard deviation. | ||
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==Description== | ==Description== | ||
*This function gives the normalized value of any distribution. | *This function gives the normalized value of any distribution. | ||
*Standardize is the normalized value for a distribution characterized by a given mean and standard deviation. | *Standardize is the normalized value for a distribution characterized by a given mean and standard deviation. | ||
| − | *In <math> STANDARDIZE(x,m,sd), x </math> | + | *In <math> STANDARDIZE(x,m,sd)</math>, <math>x </math> is the value to be normalized , <math> m </math> is the arithmetic mean of the distribution, and <math> sd </math> is the standard deviation of the distribution. |
| − | *The equation for the normalized value is:<math> Z= \frac{x-\mu}{\sigma}</math>, where <math> \mu </math> is the arithmetic mean and <math>\sigma </math> is the standard deviation. | + | *The equation for the normalized value is: |
| + | <math> Z= \frac{x-\mu}{\sigma}</math>, where <math> \mu </math> is the arithmetic mean and <math>\sigma </math> is the standard deviation. | ||
*This function will give the result as error when | *This function will give the result as error when | ||
| − | 1. Any one of the argument is | + | 1. Any one of the argument is non-numeric. |
2. sd<=0 | 2. sd<=0 | ||
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==Examples== | ==Examples== | ||
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#=STANDARDIZE(2,0,5.3) = 0.377358490566 | #=STANDARDIZE(2,0,5.3) = 0.377358490566 | ||
#=STANDARDIZE(-2,1,6.17) = -0.48622366288 | #=STANDARDIZE(-2,1,6.17) = -0.48622366288 | ||
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==See Also== | ==See Also== | ||
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*[[Manuals/calci/NORMSDIST | NORMSDIST ]] | *[[Manuals/calci/NORMSDIST | NORMSDIST ]] | ||
*[[Manuals/calci/NORMSINV | NORMSINV ]] | *[[Manuals/calci/NORMSINV | NORMSINV ]] | ||
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==References== | ==References== | ||
Revision as of 02:53, 5 February 2014
STANDARDIZE(x,m,sd)
- is the value.
- is the mean.
- is the standard deviation.
is the value.
is the mean.
is the standard deviation.Description
- This function gives the normalized value of any distribution.
- Standardize is the normalized value for a distribution characterized by a given mean and standard deviation.
- In , is the value to be normalized , is the arithmetic mean of the distribution, and is the standard deviation of the distribution.
- The equation for the normalized value is:
, , where is the arithmetic mean and is the standard deviation.
, where 
is the arithmetic mean and 
is the standard deviation.
- This function will give the result as error when
1. Any one of the argument is non-numeric.
2. sd<=0
Examples
- =STANDARDIZE(25,20,10.2) = 0.490196078431
- =STANDARDIZE(52.5,42,3.25) = 3.230769230769
- =STANDARDIZE(30,35,4.21) = -1.187648456057
- =STANDARDIZE(2,0,5.3) = 0.377358490566
- =STANDARDIZE(-2,1,6.17) = -0.48622366288